Please answer question 36 and show full work. Please have nice handwriting or type your work.

36. Polo Ralph Lauren Revenue The revenue (in million dollars) of the Polo Ralph Lauren Corporation from 2002 through 2009 is given in the table. a. Use the data to estimate the year in which revenue was growing most rapidly. b. Find a model for the data. c. Give the first derivative for the model in part b with units. d. Determine the year in which revenue was growing most rapidly. Find rate of change of revenue in that year. 37. For a function f, F"(x) > 0 for all real number input val- ues. Describe the concavity of a graph of f and sketch a function for which this condition is true. Draw a graph of a function g such that g"(x) = 0 for all real number input values. 39. Discuss an algebraic method for finding inflection points of a function. Explain how technology can be used to find inflection points. Polo Ralph Lauren Corporation Annual Revenue Year Revenue (billion dollars) 2002 2.36 2003 2.44 2004 2.65 2005 3.31 ely. ssing prof- 2006 3.75 2007 4.30 2008 4.88 of as wing 2009 5.02 ness (Source: Hoover's Online Guide) 36. of He a O is Polo Ralph Lauren Revenue The revenue (in million dollars) of the Polo Ralph Lauren Corporation from 2002 through 2009 is given in the table. a. Use the data to estimate the year in which revenue was growing most rapidly. b. Find a model for the data. c. Give the first derivative for the model in part b with units. d. Determine the year in which revenue was growing most rapidly. Find rate of change of revenue in that year. 37. For a function f. f"(x) > 0 for all real number input val- ues. Describe the concavity of a graph of f and sketch a function for which this condition is true. 38. Draw a graph of a function g such that g"(x) = 0 for all real number input values. 36. Polo Ralph Lauren Revenue The revenue (in million dollars) of the Polo Ralph Lauren Corporation from 2002 through 2009 is given in the table. a. Use the data to estimate the year in which revenue was growing most rapidly. b. Find a model for the data. c. Give the first derivative for the model in part b with units. d. Determine the year in which revenue was growing most rapidly. Find rate of change of revenue in that year. 37. For a function f, F"(x) > 0 for all real number input val- ues. Describe the concavity of a graph of f and sketch a function for which this condition is true. Draw a graph of a function g such that g"(x) = 0 for all real number input values. 39. Discuss an algebraic method for finding inflection points of a function. Explain how technology can be used to find inflection points. Polo Ralph Lauren Corporation Annual Revenue Year Revenue (billion dollars) 2002 2.36 2003 2.44 2004 2.65 2005 3.31 ely. ssing prof- 2006 3.75 2007 4.30 2008 4.88 of as wing 2009 5.02 ness (Source: Hoover's Online Guide) 36. of He a O is Polo Ralph Lauren Revenue The revenue (in million dollars) of the Polo Ralph Lauren Corporation from 2002 through 2009 is given in the table. a. Use the data to estimate the year in which revenue was growing most rapidly. b. Find a model for the data. c. Give the first derivative for the model in part b with units. d. Determine the year in which revenue was growing most rapidly. Find rate of change of revenue in that year. 37. For a function f. f"(x) > 0 for all real number input val- ues. Describe the concavity of a graph of f and sketch a function for which this condition is true. 38. Draw a graph of a function g such that g"(x) = 0 for all real number input values